Optimization of transfinite interpolation of functions with bounded Laplacian by harmonic splines on box partitions D Kuzmenko, D Skorokhodov
Journal of Approximation Theory 209, 44-57, 2016
11 2016 Stechkin’s problem for differential operators and functionals of first and second orders Y Babenko, D Skorokhodov
Journal of Approximation Theory 167, 173-200, 2013
11 2013 Optimal recovery of isotropic classes of twice-differentiable multivariate functions VF Babenko, SV Borodachov, DS Skorokhodov
Journal of Complexity 26 (6), 591-607, 2010
11 2010 Exact asymptotics of the optimal -error of linear spline interpolation V Babenko, Y Babenko, D Skorokhodov
arXiv preprint arXiv:1101.2700, 2011
7 2011 On Hardy-Littlewood-Pólya and Taikov type inequalities for multiple operators in Hilbert spaces V Babenko, Y Babenko, N Kriachko, D Skorokhodov
Analysis Mathematica 47, 709-745, 2021
5 2021 Optimal recovery of integral operators and its applications V Babenko, Y Babenko, N Parfinovych, D Skorokhodov
Journal of Complexity 35, 102-123, 2016
5 2016 On the best interval quadrature formulae for classes of differentiable periodic functions VF Babenko, DS Skorokhodov
Journal of Complexity 23 (4-6), 890-917, 2007
5 2007 On optimal interval quadrature formulae on classes of differentiable periodic functions VF Babenko, DS Skorokhodov
Researches in Mathematics 15, 16-25, 2021
4 2021 On the Landau-Kolmogorov inequality between $$$\| f'\| _ {\infty} $$$, $$$\| f\| _ {\infty} $$$ and $$$\| f'''\| _1 $$$ D Skorokhodov
Researches in Mathematics 27 (1), 55-66, 2019
4 2019 Kolmogorov type inequalities for the Marchaud fractional derivatives on the real line and the half-line VF Babenko, MS Churilova, NV Parfinovych, DS Skorokhodov
Journal of Inequalities and Applications 2014, 1-29, 2014
4 2014 Construction of optimal cubature formulas related to computer tomography VF Babenko, SV Borodachov, DS Skorokhodov
Constructive Approximation 33, 313-330, 2011
4 2011 Optimal approximation order of piecewise constants on convex partitions O Davydov, O Kozynenko, D Skorokhodov
Journal of Complexity 58, 101444, 2020
3 2020 Optimal cubature formulas for tensor products of certain classes of functions VF Babenko, SV Borodachov, DS Skorokhodov
Journal of Complexity 27 (6), 519-530, 2011
3 2011 On Kolmogorov-type inequalities for functions defined on a semiaxis. VF Babenko, DS Skorokhodov
Ukrainian Mathematical Journal 59 (10), 2007
3 2007 On Landau-Kolmogorov problem on the interval for absolutely monotonic functions DS Skorokhodov
Researches in Mathematics 17, 120-128, 2021
2 2021 The order of the best transfinite interpolation of functions with bounded laplacian with the help of harmonic splines on box partitions D Skorokhodov
Researches in Mathematics 26 (1), 82-88, 2018
2 2018 Exact asymptotics of the optimal Lp-error of asymmetric linear spline approximation V Babenko, Y Babenko, N Parfinovych, D Skorokhodov
arXiv preprint arXiv:1311.7408, 2013
2 2013 On inequalities for the norms of intermediate derivatives of multiply monotone functions defined on a finite segment DS Skorokhodov
Ukrainian Mathematical Journal 64 (4), 575-593, 2012
2 2012 On the best interval quadrature formulae for convolution classes V Babenko, D Skorokhodov
East journal on approximations 14 (3), 353-376, 2008
2 2008 Inequalities of Carlson-Taikov-Shadrin type in $$$ L_ {2, r;\alpha,\beta}((-1, 1)) $$$ and $$$ L_ {2, e^{-t^ 2}}(\mathbb {R}) $$$ spaces VF Babenko, OV Kozynenko, DS Skorokhodov
Researches in Mathematics 27 (2), 45-58, 2020
1 2020